Ответ:

[tex]( \sqrt[8]{ {2}^{4} } - \sqrt{3} ) \times ( \sqrt[8]{ {2}^{4} } + \sqrt{3} ) \\ ( \sqrt{2} - \sqrt{3} ) \times ( \sqrt{2} + \sqrt{3} ) \\ 2 - 3 \\ - 1[/tex]

Verified answer

[tex]( \sqrt[8]{16} - \sqrt{3} )( \sqrt[8]{16} + \sqrt{3} ) = ( \sqrt[8]{ {2}^{4} } - \sqrt{3} )( \sqrt[8]{ {2}^{4} } + \sqrt{3} ) = \\ = ( \sqrt{2} - \sqrt{3} )( \sqrt{2} + \sqrt{3} ) = ( \sqrt{2} ) {}^{2} - ( \sqrt{3} ) {}^{2} = 2 - 3 = \\=- 1[/tex]